Question

Verify the property a x (b – c) = a x b – a x c by taking a = 1/2 b= 1/2 b= -3/4 and c= -2/3
PLZ ANSWER IN STEPSS

Answer 1

Answer:

-1/24=-1/24

Step-by-step explanation:

1/2(-3/4+2/3)=1/2(-3/4-1/2(-2/3)

-3/8+2/6=-3/8+2/6

-1/24=-1/24

verify

Answer 2

a = 1/2, b = -3/4 and c = -2/3.

LHS: 1/2 x (-3/4 - (-2/3)) = 1/2 x (-3/4 + 2/3) = 1/2 x (-9/12 + 8/12) = 1/2 x (-1/12) = -1/24

RHS: 1/2 x (-3/4) - 1/2 x (-2/3) = -3/8 + 1/3 (2/6 simplified to 1/3)= -9/24 + 8/24 = -1/24

As you can see, LHS and RHS are equal. Therefore, the property ax(b-c)=axb-axc holds true for the given values of a, b, and c.